Minimum Sample Size
Population Size105
Margin of Error0.05
Confidence0.99
Power0.5
Population Variance0.13
z(alpha/2) + z(beta)2.5758293035489
z(alpha) + z(beta)2.32634787404084
Minimum Sample Size (2 sided test)80.6800793682736
Minimum Sample Size (1 sided test)76.66716256506


Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.99
Power0.5
Population Variance0.13
z(alpha/2) + z(beta)2.5758293035489
z(alpha) + z(beta)2.32634787404084
Minimum Sample Size (2 sided test)345.014623253103
Minimum Sample Size (1 sided test)281.418510414826


Minimum Sample Size (Unknown Population Variance)
Population Size105
Margin of Error0.05
Confidence0.99
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)2.63894874847725
t(alpha) + t(beta)2.37664514310385
Minimum Sample Size (2 sided test)81.5730904719713
Minimum Sample Size (1 sided test)77.5434282878343


Minimum Sample Size
(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.05
Confidence0.99
Power0.5
Population Varianceunknown
t(alpha/2) + t(beta)2.59019593663438
t(alpha) + t(beta)2.33971916366033
Minimum Sample Size (2 sided test)348.873979488177
Minimum Sample Size (1 sided test)284.662859769568